Problem 29

{{searchResults.length}} results for “{{searchWords}}” No results found for “{{searchWords}}” × back to contents

§{{x[0]}} {{x[1]}}

Table of Contents

Problem 29: (2002 AMC 12A 23)

In triangle $ABC$, side $AC$ and the perpendicular bisector of $BC$ meet in point $D$, and $BD$ bisects $\angle ABC$. If $AD = 9$ and $DC = 7$, what is the area of triangle $ABD$?
$\text{(A)}\ 14 \qquad$ $ \text{(B)}\ 21 \qquad$ $ \text{(C)}\ 28 \qquad$ $ \text{(D)}\ 14\sqrt5 \qquad$ $ \text{(E)}\ 28\sqrt5$

Solution

Exercise 29: Solution

In triangle $ABC$, side $AC$ and the perpendicular bisector of $BC$ meet in point $D$, and $BD$ bisects $\angle ABC$. If $AD=9$ and $DC=16$, what is the area of triangle $ABD$?

Search Go to Prev Next

Contact Us